Find the Domain f(x)=-8x+4

Problem

ƒ(x)=−8*x+4

Solution

1. Identify the type of function. The given function ƒ(x)=−8*x+4 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input, such as division by zero (fractions with variables in the denominator) or square roots of negative numbers.

3. Determine the set of all possible input values. Since any real number can be multiplied by −8 and then added to 4 the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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